论文标题

多个网络分阶段振荡器中的对抗性决策策略:蓝绿色的库拉莫托 - 萨克古奇模型

Adversarial decision strategies in multiple network phased oscillators: the Blue-Green-Red Kuramoto-Sakaguchi model

论文作者

Zuparic, Mathew, Angelova, Maia, Zhu, Ye, Kalloniatis, Alexander

论文摘要

我们考虑了三个相互作用的决策代理集的模型,标记为蓝色,绿色和红色,被表示为耦合的分阶段振荡器,但受到挫败的同步动力学。代理在三个不同拓扑的网络上耦合,相互作用由不同的跨种群挫败感,内部和跨网络耦合调节。动态模型的目的是检查两个决策者蓝色和红色组的两个群体,能够实现一种策略,即在内部寻求对这一过程的同步(这都是与第三人群进一步互动的背景下,彼此之间的决策周期。为了实现此分析,我们执行显着的维降低近似和稳定性分析。我们将其与数值解决方案进行比较,以研究一系列内部和跨网络耦合参数,以研究各种同步方案和临界阈值。比较显示适当的参数范围良好的一致性。进行参数扫描时,我们揭示了蓝色对在Red的决策周期之前保持过于far的策略的追求,这触发了绿色人口的二阶效应,即在Blue的周期之前。这种行为对与合作和竞争过程的多个互动社会群体的动态具有影响。

We consider a model of three interacting sets of decision-making agents, labeled Blue, Green and Red, represented as coupled phased oscillators subject to frustrated synchronisation dynamics. The agents are coupled on three networks of differing topologies, with interactions modulated by different cross-population frustrations, internal and cross-network couplings. The intent of the dynamic model is to examine the degree to which two of the groups of decision-makers, Blue and Red, are able to realise a strategy of being ahead of each others' decision-making cycle while internally seeking synchronisation of this process -- all in the context of further interactions with the third population, Green. To enable this analysis, we perform a significant dimensional reduction approximation and stability analysis. We compare this to a numerical solution for a range of internal and cross-network coupling parameters to investigate various synchronisation regimes and critical thresholds. The comparison reveals good agreement for appropriate parameter ranges. Performing parameter sweeps, we reveal that Blue's pursuit of a strategy of staying too-far ahead of Red's decision cycles triggers a second-order effect of the Green population being ahead of Blue's cycles. This behaviour has implications for the dynamics of multiple interacting social groups with both cooperative and competitive processes.

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